Coefficient-Related Studies and Fekete-Szegö Type Inequalities for New Classes of Bi-Starlike and Bi-Convex Functions

Abstract

In this paper, we define certain families SE*(ϑ) and CE(ϑ) of holomorphic and bi-univalent functions which are defined in the open unit disk U. We establish upper bounds for the initial Taylor–Maclaurin coefficients and Fekete–Szegö type inequalities for functions in these families.

Keywords

• holomorphic function
• bi-univalent function
• upper bounds
• Fekete–Szegö functional